Both the movies have the same plot of the protagonist saving the President of US from the chaos caused in the White House by Terrorists/Paramilitary forces.
The Winner:Olympus has fallen!
The interesting thing to note is that both the movies have almost the same rating at 6.4 and 6.5.
But,the winner here is Olympus has fallen. White house down became a failure owing to competition from Man of Steel.Sources point that a sequel to Olympus has fallen is underway!